0.00/0.61	YES
0.00/0.63	
0.00/0.63	
0.00/0.63	The system was filtered by the following matrix interpretation
0.00/0.63	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.63	
0.00/0.63	c is interpreted by
0.00/0.63	 /           \
0.00/0.63	| 1 0 1 0 0 0 |
0.00/0.63	| 0 1 0 0 0 0 |
0.00/0.63	| 0 0 0 1 0 0 |
0.00/0.63	| 0 2 0 0 1 0 |
0.00/0.63	| 0 0 0 0 1 0 |
0.00/0.63	| 0 0 0 0 0 0 |
0.00/0.63	 \           /
0.00/0.63	a is interpreted by
0.00/0.63	 /           \
0.00/0.63	| 1 0 0 0 0 0 |
0.00/0.63	| 0 1 0 0 0 0 |
0.00/0.63	| 0 0 0 0 0 0 |
0.00/0.63	| 0 1 1 0 0 0 |
0.00/0.63	| 0 0 0 0 0 1 |
0.00/0.63	| 0 0 0 0 0 0 |
0.00/0.63	 \           /
0.00/0.63	b is interpreted by
0.00/0.63	 /           \
0.00/0.63	| 1 0 0 0 1 0 |
0.00/0.63	| 0 1 0 0 0 0 |
0.00/0.63	| 0 0 0 0 0 0 |
0.00/0.63	| 0 1 0 0 0 0 |
0.00/0.63	| 0 0 0 0 0 0 |
0.00/0.63	| 0 0 1 0 0 0 |
0.00/0.63	 \           /
0.00/0.63	
0.00/0.63	Remains to prove termination of the 5-rule system
0.00/0.63	{ b b b -> a a a ,
0.00/0.63	  c a b ->= a a a ,
0.00/0.63	  c a b ->= a c a ,
0.00/0.63	  c b c ->= c b b ,
0.00/0.63	  b a b ->= b b c }
0.00/0.63	
0.00/0.63	
0.00/0.63	The system was filtered by the following matrix interpretation
0.00/0.63	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.63	
0.00/0.63	c is interpreted by
0.00/0.63	 /       \
0.00/0.63	| 1 0 0 0 |
0.00/0.63	| 0 1 0 0 |
0.00/0.63	| 0 0 1 0 |
0.00/0.63	| 0 0 0 0 |
0.00/0.63	 \       /
0.00/0.63	a is interpreted by
0.00/0.63	 /       \
0.00/0.63	| 1 0 0 0 |
0.00/0.63	| 0 1 0 0 |
0.00/0.63	| 0 0 0 1 |
0.00/0.63	| 0 0 0 0 |
0.00/0.63	 \       /
0.00/0.63	b is interpreted by
0.00/0.63	 /       \
0.00/0.63	| 1 0 1 0 |
0.00/0.63	| 0 1 0 0 |
0.00/0.63	| 0 0 0 0 |
0.00/0.63	| 0 1 0 0 |
0.00/0.63	 \       /
0.00/0.63	
0.00/0.63	Remains to prove termination of the 4-rule system
0.00/0.63	{ b b b -> a a a ,
0.00/0.63	  c a b ->= a a a ,
0.00/0.63	  c a b ->= a c a ,
0.00/0.63	  c b c ->= c b b }
0.00/0.63	
0.00/0.63	
0.00/0.63	The system was filtered by the following matrix interpretation
0.00/0.63	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.63	
0.00/0.63	c is interpreted by
0.00/0.63	 /   \
0.00/0.63	| 1 1 |
0.00/0.63	| 0 1 |
0.00/0.63	 \   /
0.00/0.63	a is interpreted by
0.00/0.63	 /   \
0.00/0.63	| 1 0 |
0.00/0.63	| 0 1 |
0.00/0.63	 \   /
0.00/0.63	b is interpreted by
0.00/0.63	 /   \
0.00/0.63	| 1 0 |
0.00/0.63	| 0 1 |
0.00/0.63	 \   /
0.00/0.63	
0.00/0.63	Remains to prove termination of the 2-rule system
0.00/0.63	{ b b b -> a a a ,
0.00/0.63	  c a b ->= a c a }
0.00/0.63	
0.00/0.63	
0.00/0.63	The system was filtered by the following matrix interpretation
0.00/0.63	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.63	
0.00/0.63	c is interpreted by
0.00/0.63	 /   \
0.00/0.63	| 1 0 |
0.00/0.63	| 0 1 |
0.00/0.63	 \   /
0.00/0.63	a is interpreted by
0.00/0.63	 /   \
0.00/0.63	| 1 0 |
0.00/0.63	| 0 1 |
0.00/0.63	 \   /
0.00/0.63	b is interpreted by
0.00/0.63	 /   \
0.00/0.63	| 1 1 |
0.00/0.63	| 0 1 |
0.00/0.63	 \   /
0.00/0.63	
0.00/0.63	Remains to prove termination of the 0-rule system
0.00/0.63	{ }
0.00/0.63	
0.00/0.63	
0.00/0.63	The system is trivially terminating.
0.00/0.65	EOF